Quantitative Aptitude Quiz | 10-July-2020 ||Answer key with Solution|

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Quantitative Aptitude Quiz | 10-July-2020 |

|Answer key with Solution|

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Useful for BANK. SSC, RAILWAY, UPSC, PSC, WBCS

1. Sol. (C) 

Speed downstream/अनुप्रवाह चाल = (2/ 15) × 60 = 8 kmph/किमी./घंटा

Speed downstream/अनुप्रवाह चाल = 5 kmph/किमी./घंटा

Speed of current/धारा की चाल = {(8 – 5)/ 2} = 3/2 = 1.5 kmph/किमी./घंटा

2. Sol. (A) 

Let A's speed/माना A की चाल = x kmph/किमी./घंटा

B's speed/B की चाल = y kmph/किमी./घंटा

According to the question/प्रश्नानुसार,

{(30/x) – (30/y)} = 2 … (I)

{(30/y) – (30/2x)} = 1 … (I)

On solving (I) and (II), we get/(I) और (II) को हल करने पर, 

x = 5 kmph/किमी./घंटा 

3. Sol. (C) 

Let incomes of P, Q and R be 3x, 7x and 4x. / माना P, Q और R की आय 3x, 7x और 4x है।

Their expenses are 4y, 3y and 5y / उनके खर्चे 4y, 3y और 5y हैं ।

According to question, / प्रश्नानुसार, 

3x – 4y = (1/8) × 3x

(21x/8) = 4y

21x = 32y

A's savings/A की बचत = (3/8) × (32/21) y = 4y/7

B's savings/B की बचत = 7x – 3y = 7 × (32/21) y – 3y = 23y/3

C's savings/C की बचत = 4x – 5y = 4 × (32/21) y – 5y = 23y/21

Required ratio/अभीष्ट अनुपात = (4y/7): (23y/3): (23y/21) = 12: 161: 23

4. Sol. (B) 

Let/माना CP = 100, then profit/तो लाभ = Rs. 320

S.P./विक्रय मूल्य = Rs. 420

New C.P. /नया क्रय मूल्य = 125% of Rs.100 = Rs. 125

New S.P. /नया विक्रय मूल्य = Rs. 420

Profit/लाभ = Rs. (420 – 125) = Rs. 295

Required percentage/अभीष्ट प्रतिशत = {(295/ 420) × 100} %

= (1475/ 21) % = 70% (approximate/लगभग)

5. Sol. (D) 

Wheat/गेंहूँ = 9

Rice/चावल = 10

Sugar/चीनी = 8

Required/अभीष्ट % = (9/10) × 100 = 90%

6. Sol. (A) 

Rajeev can complete a work in (12 × 8) hrs. = 96 hrs. /घंटे 

Raghav can complete the same work in (8 × 10) hrs. = 80 hrs. /घंटे

Both will finish the work in/दोनों मिलकर काम पूरा करेंगें

= 1/ {(1/ 80) + (1/ 96)} hrs. /घंटे

= (480/11) hrs. /घंटे

Number of days required to complete this work/इस काम को पूरा करने में आवश्यक दिनों की संख्या 

= (480/11) × (1/8) = 60/11 = 5 (5/ 11) hrs. /घंटे

7. Sol. (B) 

Let speed of the boat/माना नाव की चाल = x km/hr. / (किमी. /घंटा) 

and speed of the current/और धारा की चाल = y km/hr. / (किमी. /घंटा)

Downstream speed/अनुप्रवाह चाल = (x + y) km/hr. / (किमी. /घंटा)

Upstream speed/ऊर्ध्वप्रवाह चाल = (x + y) km/hr. / (किमी. /घंटा)

According to the question/प्रश्नानुसार,

2 (x + y) = 3 (x – y)

2x + 2y = 3x – 3y

x = 5y

x: y = 5: 1

8. Sol. (D) 

According to the question/प्रश्नानुसार,

504 = (3200 × r × 7)/ 300

r = 6.75% = 6 (3/4) %

9. Sol. (B) 

Ratio between their efficiency/उनकी कार्यक्षमताओं में अनुपात = 3: 1

Ratio between their time/उनके समयों में अनुपात = 1: 3

According to the question/प्रश्नानुसार,

(3 – 1) = 32

2 = 32

1 = 16

3 = 48

Required time/अभीष्ट समय = {48/ (3 + 1)} = 12 minutes/मिनट

10. Sol. (C) 

According to the question/प्रश्नानुसार,

25% + 60 = 60% - 80

140 = 35%

1% = 4

100% = 400

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